非局部抛物线障碍问题中带有惩罚的有限元法隐含方案的精度

IF 0.5 Q3 MATHEMATICS

Russian Mathematics Pub Date : 2024-06-04 DOI:10.3103/s1066369x24700075

O. V. Glazyrina, R. Z. Dautov, D. A. Gubaidullina

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引用次数: 0

摘要

摘要为了求解一个抛物线变分不等式，该不等式具有非局部空间算子和对解的单边约束，提出并研究了一种基于惩罚法、有限元和隐式欧拉方案的数值方法。获得了能量规范下近似解精度的最佳估计值。

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Accuracy of an Implicit Scheme for the Finite Element Method with a Penalty for a Nonlocal Parabolic Obstacle Problem

Abstract

In order to solve a parabolic variational inequality with a nonlocal spatial operator and a one-sided constraint on the solution, a numerical method based on the penalty method, finite elements, and the implicit Euler scheme is proposed and studied. Optimal estimates for the accuracy of the approximate solution in the energy norm are obtained.

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来源期刊

Russian Mathematics MATHEMATICS-

CiteScore

0.90

自引率

25.00%

发文量

期刊介绍： Russian Mathematics is a peer reviewed periodical that encompasses the most significant research in both pure and applied mathematics.